Answer: 14
Step-by-step explanation:
Step 1: Substitute the x and y values:

Step 2: Find 4 to the power of 3.
4 x 4 x 4 = 64
Now find 2 to the power of 3
2 x 2 x 2 = 8
Step 3: Subtract the two values as mentioned in the equation:
64 - 8 = 56
Step 4: Now divide 56 by 4 as mentioned in the equation.
56 ÷ 4 = 14
And... 14 is the answer!
Hope this helps :)
-jp524
Μ = (0×0.026) + (1×0.072) +(2×0.152) + (3×0.303) + (4×0.215) + (5×0.164) + (6×0.066)
μ = 0 + 0.072 + 0.304 + 0.909 + 0.86 + 0.82 + 0.396
μ = 3.361 ≈ 3.4
We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323
Variance = ∑X² - μ²
Variance = 13.323 - (3.4)² = 1.763 ≈ 2
Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4
The correct answer related to the value of mean and standard deviation is the option D
<span>
An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.</span>
4 - 3 - 6x³ - 2y³ + 3x³ + 5 + 2y³
4 - 3 + 5 - 6x³ + 3x³ - 2y³ + 2y³
6 - 9x³